26 citations · 47 across the 4 of their papers we have counts for
11 papers · 1 filter
Instanton counting on blowup. II. -theoretic partition function
Hiraku Nakajima, Kota Yoshioka
We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the char…
Moduli spaces of twisted sheaves on a projective variety
Kota Yoshioka
We construct the moduli of twisted sheaves on a projective variety. Then we generalize known results on the moduli space of usual sheaves on a K3 surface to the twisted case. Thus…
Lectures on Instanton Counting
Hiraku Nakajima, Kota Yoshioka
These notes have two parts. The first is a study of Nekrasov's deformed partition functions $Z(\ve_1,\ve_2,\vec{a};\q,\vecτ)$ of N=2 SUSY Yang-Mills theories, which are generating…
Singularities of the 2-dimensional moduli spaces of stable sheaves on K3 surfaces
Nobuaki Onishi, Kota Yoshioka
We consider the singuralities of 2-dimensional moduli spaces of semi-stable sheaves on K3 surfaces. We show that the moduli space is normal, in particular the singuralities are rat…
A note on Fourier-Mukai transform
Kota Yoshioka
In this note, we consider the problem on the preservation of stability under the Fourier-Mukai transforms. We first show that the Fourier-Mukai transform on an abelian surface or a…
Twisted stability and Fourier-Mukai transform
Kota Yoshioka
In this paper, we consider the preservation of stability by using the notion of Twisted stability. As applications, (1) we show that moduli spaces of vector bundles on K3 and abeli…